2018-11-012018-11-012017-04RAMOS, A.J.A. On convergence and solvability of an elliptic equation by finite difference method. TEMA (São Carlos), São Carlos, v. 18, n. 1, p. 35-53, jan./abr. 2017. Disponível em: <http://repositorio.ufpa.br/jspui/handle/2011/10353>. Acesso em:.1677-19662179-8451https://repositorio.ufpa.br/handle/2011/10353In this article we deal with questions of convergence, existence and uniqueness of the numerical solutions for a discretized elliptic problem by using finite difference method. In order to show existence and uniqueness of numerical solutions we will use a suitable variational setup (at discrete level) to guarantee the existence of a numerical solution by means of a finite difference methodAcesso AbertoEquações elípticasDiferenças finitasSolvabilidade de soluções numéricasConvergênciaArtigo de PeriódicoCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICAhttp://dx.doi.org/10.5540/tema.2017.018.01.0035